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Volumn 68, Issue 2, 2008, Pages 384-392

Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems

Author keywords

Eigenvalue problems; Maximal principle; Positive solutions; Upper and lower solutions

Indexed keywords

NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 35548978093     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.11.004     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 33947175349 scopus 로고
    • On fourth-order boundary value problems arising in beam analysis
    • Agarwal R.P. On fourth-order boundary value problems arising in beam analysis. Differential Integral Equations 2 (1989) 91-110
    • (1989) Differential Integral Equations , vol.2 , pp. 91-110
    • Agarwal, R.P.1
  • 2
    • 0034238776 scopus 로고    scopus 로고
    • The method of lower and upper solutions for a bending of an elastic beam equation
    • Bai Z.B. The method of lower and upper solutions for a bending of an elastic beam equation. J. Math. Anal. Appl. 248 (2000) 195-202
    • (2000) J. Math. Anal. Appl. , vol.248 , pp. 195-202
    • Bai, Z.B.1
  • 3
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • Ma R.Y., and Wang H.Y. On the existence of positive solutions of fourth-order ordinary differential equations. Appl. Anal. 59 (1995) 225-231
    • (1995) Appl. Anal. , vol.59 , pp. 225-231
    • Ma, R.Y.1    Wang, H.Y.2
  • 4
    • 0031276985 scopus 로고    scopus 로고
    • The method of lower and upper solutions for fourth-order two-point boundary value problems
    • Ma R.Y., Zhang J.H., and Fu S.M. The method of lower and upper solutions for fourth-order two-point boundary value problems. J. Math. Anal. Appl. 215 (1997) 415-422
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 415-422
    • Ma, R.Y.1    Zhang, J.H.2    Fu, S.M.3
  • 5
    • 0000408432 scopus 로고    scopus 로고
    • (4) (t) - λ h (t) f (u (t)) = 0
    • (in Chinese)
    • (4) (t) - λ h (t) f (u (t)) = 0. Chinese Ann. Math. Ser. A 20 (1999) 575-578 (in Chinese)
    • (1999) Chinese Ann. Math. Ser. A , vol.20 , pp. 575-578
    • Yao, Q.L.1    Bai, Z.B.2
  • 6
    • 0037098593 scopus 로고    scopus 로고
    • On positive solutions of some nonlinear fourth-order beam equations
    • Bai Z.B., and Wang H.Y. On positive solutions of some nonlinear fourth-order beam equations. J. Math. Anal. Appl. 270 (2002) 357-368
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 357-368
    • Bai, Z.B.1    Wang, H.Y.2
  • 7
    • 38249027575 scopus 로고
    • Existence and uniqueness theorems for a bending of an elastic beam equation at resonance
    • Gupta C.P. Existence and uniqueness theorems for a bending of an elastic beam equation at resonance. J. Math. Anal. Appl. 135 (1988) 208-225
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 208-225
    • Gupta, C.P.1
  • 8
    • 0021371823 scopus 로고
    • Fourth-order two-point boundary value problems; Estimates by two side bounds
    • Schroder J. Fourth-order two-point boundary value problems; Estimates by two side bounds. Nonlinear Anal. 8 (1984) 107-144
    • (1984) Nonlinear Anal. , vol.8 , pp. 107-144
    • Schroder, J.1
  • 9
    • 0021418458 scopus 로고
    • Iterative methods for a fourth order boundary value problem
    • Agarwal R.P., and Chow M.Y. Iterative methods for a fourth order boundary value problem. J. Comput. Appl. Math. 10 (1984) 203-217
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 203-217
    • Agarwal, R.P.1    Chow, M.Y.2
  • 10
    • 0142061368 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problem
    • Ma R.Y. Positive solutions of fourth-order two point boundary value problem. Ann. Differential Equations 15 (1999) 305-313
    • (1999) Ann. Differential Equations , vol.15 , pp. 305-313
    • Ma, R.Y.1
  • 11
    • 84950192244 scopus 로고
    • Existence and uniqueness theorems for a bending of an elastic beam equation
    • Gupta C.P. Existence and uniqueness theorems for a bending of an elastic beam equation. Appl. Anal. 26 (1988) 289-304
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 12
    • 84968518888 scopus 로고
    • Fourth order two-point boundary value problem
    • Yang Y.S. Fourth order two-point boundary value problem. Proc. Amer. Math. Soc. 104 (1988) 175-180
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 175-180
    • Yang, Y.S.1
  • 13
    • 0001414103 scopus 로고
    • Existence and uniqueness theorems for fourth order boundary value problem
    • Aftabizadeh A.R. Existence and uniqueness theorems for fourth order boundary value problem. J. Math. Anal. Appl. 116 (1986) 415-426
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 415-426
    • Aftabizadeh, A.R.1
  • 14
    • 84968491364 scopus 로고
    • Existence for a fourth-order boundary value problem under two-parameter nonresonance condition
    • Pino M.A., and Manasevich R.F. Existence for a fourth-order boundary value problem under two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112 (1991) 81-86
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 81-86
    • Pino, M.A.1    Manasevich, R.F.2
  • 15
    • 0037174276 scopus 로고    scopus 로고
    • Existence of positive solutions for BVPs of fourth-order difference equation
    • Zhang B.G., and Kong L.J. Existence of positive solutions for BVPs of fourth-order difference equation. Appl. Math. Comput. 131 (2002) 583-591
    • (2002) Appl. Math. Comput. , vol.131 , pp. 583-591
    • Zhang, B.G.1    Kong, L.J.2
  • 16
    • 0002974877 scopus 로고    scopus 로고
    • Eigenvalue of Lidstone boundary value problems
    • Wong P.J.Y., and Agarwal R.P. Eigenvalue of Lidstone boundary value problems. Appl. Math. Comput. 104 (1999) 15-31
    • (1999) Appl. Math. Comput. , vol.104 , pp. 15-31
    • Wong, P.J.Y.1    Agarwal, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.